Statements:
Only a few Plants are Trees
No Shrubs is Herb
Some Shrubs is Trees
Conclusions:
I. All Trees can be Herb
II. Some Plants being not Shrubs is a possibility
Correct Answer :
If only conclusion II follows
Solution :
Correct Answer: If only conclusion II follows
Step 1: Analyze the Given Statements
1. "Only a few Plants are Trees": The phrase "only a few" indicates a definite partial positive and a definite partial negative relation. It means that some Plants are Trees AND some Plants are NOT Trees.
2. "No Shrubs is Herb": There is no overlap between the set of Shrubs and the set of Herb.
3. "Some Shrubs is Trees": There is a common overlapping region between the set of Shrubs and the set of Trees.
Step 2: Evaluate Conclusion I
Conclusion I: All Trees can be Herb
From Statement 3, we know that at least some Trees are Shrubs. From Statement 2, no Shrubs can ever be Herb. This means the specific portion of Trees that are Shrubs can never become Herb. Since a part of Trees is restricted from being Herb, it is impossible for all Trees to be Herb. Therefore, Conclusion I does not follow.
Step 3: Evaluate Conclusion II
Conclusion II: Some Plants being not Shrubs is a possibility
The given statements do not restrict Plants from existing outside the set of Shrubs. We can easily draw a valid diagram where some or all Plants lie outside the Shrubs circle without violating any statement. Since a valid state exists where some Plants are not Shrubs, this possibility is true. Therefore, Conclusion II follows.
Final Verdict:
Only Conclusion II follows from the given statements.
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